Historically, a real estate agency has found houses for 0.7 of its clients. the agency wants to test whether its new web site has increased the proportion of clients who find houses (this ratio is denoted by p). the agency plans to test the null hypothesis h_0 : p \leq 0.7 h 0 : p ≤ 0.7 against the alternative h_a: p> 0.7 h a : p > 0.7 on the basis of its sales record in a random sample of 15 clients. suppose the rejection region is x> 12, where x is the number of clients in the sample who find a house. what is the maximum probability of type i error?